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Finding the Fourth Proportional to 14,090.90, 19,445.20 and 7,803.14

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Solution

The fourth proportional to 14,090.90, 19,445.20 and 7,803.14 is: 10,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.90 : 19,445.20 = 7,803.14 : x
  2. Step 2: Convert to fraction form
    14,090.90/19,445.20 = 7,803.14/x
  3. Step 3: Cross multiply
    14,090.90x = 19,445.20 × 7,803.14
  4. Step 4: Simplify right side
    14,090.90x = 151,733,617.93
  5. Step 5: Solve for x
    x = 151,733,617.93/14,090.90
  6. Step 6: Final answer
    x = 10,768.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.